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How do you add or subtract the rational expressions with unlike denominators ?

Answer
VerifiedVerified
463.2k+ views
Hint: Here in this question, we need to explain how to add or subtract two rational expressions with unlike denominators. So, we have $ + $ symbol which represents the addition and $ - $ sign which represents the subtraction of the two rational numbers.

Complete step by step solution:
Here in this question, we have to add or subtract two rational numbers with unlike denominators.
We are going to simplify the sum or difference of two rational numbers by taking the LCM of the denominators of the rational numbers such that the value of both the rationals remains unchanged.
After taking LCM of the denominators, we make the denominators of both the rational numbers alike by multiplying both the rationals by multiplying and dividing by the same number.
Then, we simply add or subtract the numerators of the rational numbers so as to get to our final required answer according to the operation given to us in any specific problem.

Note: While adding the two rational numbers, we need to check the values of the denominator. If both denominators are having the same value then we can add the numerators. Suppose if the rational numbers have different denominators, we have to take LCM for the denominators and we simplify for further.